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number Number of generators in of a subgroup of a finite simple group

For a finite group $G$ we denote $d(G)$ the minimal number size of generator a set of generators of $G$. We denote define $D(G) = \max( d(H) \mid H\leq G)$.

Let $S$ be a finite simple group. Are there `good' bounds on $D(S)$ in terms of the size of $S$?

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Number number of generators of a subgroup of in a finite simple group

For a finite group $G$ we denote $d(G)$ the minimal size number of a generator set of generators of $G$. We define denote $D(G) = \max( d(H) \mid H\leq G)$.

Let $S$ be a finite simple group. Are there `good' bounds on $D(S)$ in terms of the size of $S$?

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number Number of generators in of a subgroup of a finite simple group

For a finite group $G$ we denote $d(G)$ the minimal number size of generator a set of generators of $G$. We denote define $D(G) = \max( d(H) \mid H\leq G)$.

Let $S$ be a finite simple group. Are there `good' bounds on $D(S)$ in terms of the size of $S$?

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